Simulation of phase-ordering dynamics of 2d Ising model under influence of oscillatory shear

Abstract

In this paper, we study phase-ordering dynamics of 2d Ising model under influence of oscillatory shear by computer simulation. We focus on the time evolution of the equal-time correlation functions to test the dynamical scaling hypothesis and to determine the governing growth laws. We find that at late times the system has two different behaviours which are a non-shear behaviour and a uniformly sheared behaviour. Initial phases and frequencies of oscillatory shear determine the behaviour of the system. On one hand, if the frequency is high, the system behaves as if it is not under shear. On the other hand, if the frequency is approached zero, the behaviour of the system will be determined by the initial phase of oscillatory shear. At the initial phase of 90 degree (or 270 degree), the system also behaves as if it is not under shear. Otherwise, the system behaves as if it is under uniform shear (Oscillatory shear is in the form of cosine function).